Prime p₀= 2682089707263428477 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 94 2 40 2 10 2 196 2 40 2 (?)
a_n: 0 2 114 116 210 212 252 254 264 266 462 464 504 506
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 506
Found by: fzs600
db: batch=82, k=14, 112 94 40 10 196 40

TPT(14)	2682088704334120787	0 2 54 56 60 62 102 104 144 146 264 266 294 296	-1002929307690
TPT(14)	2682089158147877711	0 2 6 8 30 32 78 80 156 158 186 188 198 200	-549115550766
SPT(16)	2682089248042930207	0 4 10 42 60 66 72 82 114 124 130 136 154 186 192 196	-459220498270
STPT(10)	2682089590990751969	0 2 18 20 30 32 42 44 60 62	-116272676508
STPT(10)	2682089654994477197	0 2 30 32 42 44 54 56 84 86	-52268951280
SPT(16)	2682089690858924471	0 32 38 110 140 180 188 210 290 312 320 360 390 462 468 500	-16404504006
STPT(10)	2682089722767775259	0 2 30 32 60 62 90 92 120 122	15504346782
STPT(10)	2682089760026151659	0 2 18 20 30 32 42 44 60 62	52762723182
SPT(16)	2682089797956220931	0 42 48 56 96 102 108 110 138 140 146 152 192 200 206 248	90692792454
STPT(10)	2682089907835858139	0 2 12 14 90 92 168 170 180 182	200572429662
SPT(16)	2682090230118527297	0 20 60 72 80 90 110 122 132 144 164 174 182 194 234 254	522855098820